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P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?

Correct Answer: 3 pm

Explanation:

Work done by P and Q in the first two hours, working alternately


= First hour P + Second hour Q


1 4 + 1 12 = 1 3


work is completed in 2 hours


Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours


Thus, work will be completed at 3pm.


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